We review numerical studies of quantum turbulence. Quantum turbulence is currently one of
the most important problems in low temperature physics and is actively studied for superfluid …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

Fluids subjected to suitable forcing will exhibit turbulence, with characteristics strongly
affected by the fluid's physical properties and dimensionality. In this work, we explore two …

We theoretically explore key concepts of two-dimensional turbulence in a homogeneous
compressible superfluid described by a dissipative two-dimensional Gross-Pitaeveskii …

The nonlinear Schrödinger equation is a very versatile equation used in many branches of
physics, dictating the behavior of wave packets in weakly nonlinear media. From the …

In a two-dimensional (2D) classical fluid, a large-scale flow structure emerges out of
turbulence, which is known as the inverse energy cascade where energy flows from small to …

The detailed understanding of the intricate dynamics of quantum fluids, in particular in the
rapidly growing subfield of quantum turbulence which elucidates the evolution of a vortex …

We present an overview of our recent theoretical studies on the quantum phenomena of the
spin-1 Bose-Einstein condensates, including the phase diagram, soliton solutions and the …

We investigate the half-skyrmion excitations induced by spin-orbit coupling in the rotating
and rapidly quenched spin-1 Bose-Einstein condensates. We give three expressions of the …

The nonequilibrium dynamics of a rapidly quenched spin-1 Bose gas with spin-orbit
coupling is studied. By solving the stochastic projected Gross-Pitaevskii equation, we show …